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Simplifying 0.5x + 2 + -0.666 = 1.5 + -6 Reorder the terms: 2 + -0.666 + 0.5x = 1.5 + -6 Combine like terms: 2 + -0.666 = 1.334 1.334 + 0.5x = 1.5 + -6 Combine like terms: 1.5 + -6 = -4.5 1.334 + 0.5x = -4.5 Solving 1.334 + 0.5x = -4.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.334' to each side of the equation. 1.334 + -1.334 + 0.5x = -4.5 + -1.334 Combine like terms: 1.334 + -1.334 = 0.000 0.000 + 0.5x = -4.5 + -1.334 0.5x = -4.5 + -1.334 Combine like terms: -4.5 + -1.334 = -5.834 0.5x = -5.834 Divide each side by '0.5'. x = -11.668 Simplifying x = -11.668
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